Stochastic parallel transport and connections of $H^2M$
Catuogno, Pedro
Archivum Mathematicum, Tome 035 (1999), p. 305-315 / Harvested from Czech Digital Mathematics Library
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In this paper we prove that there is a bijective correspondence between connections of $H^2M$, the principal bundle of the second order frames of $M$, and stochastic parallel transport in the tangent space of $M$. We construct in a direct geometric way a prolongation of connections without torsion of $M$ to connections of $H^2M$. We interpret such prolongation in terms of stochastic calculus.

Publié le : 1999-01-01
Classification:  53B15,  53C05,  58J65 
@article{107705,
     author = {Pedro Catuogno},
     title = {Stochastic parallel transport and connections of $H^2M$},
     journal = {Archivum Mathematicum},
     volume = {035},
     year = {1999},
     pages = {305-315},
     zbl = {1049.58035},
     mrnumber = {1744518},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107705}
}

Catuogno, Pedro. Stochastic parallel transport and connections of $H^2M$. Archivum Mathematicum, Tome 035 (1999) pp. 305-315. http://gdmltest.u-ga.fr/item/107705/

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